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Finding the Fourth Proportional to 12,541.86, 18,813.99 and 4,221.96

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Solution

The fourth proportional to 12,541.86, 18,813.99 and 4,221.96 is: 6,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.86 : 18,813.99 = 4,221.96 : x
  2. Step 2: Convert to fraction form
    12,541.86/18,813.99 = 4,221.96/x
  3. Step 3: Cross multiply
    12,541.86x = 18,813.99 × 4,221.96
  4. Step 4: Simplify right side
    12,541.86x = 79,431,913.22
  5. Step 5: Solve for x
    x = 79,431,913.22/12,541.86
  6. Step 6: Final answer
    x = 6,333.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.